Least Common Multiple of 1737 and 1742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 1737 and 1742 the smallest integer that is 3025854 that is divisible by both numbers.

Least Common Multiple (LCM) of 1737 and 1742 is 3025854.

LCM(1737,1742) = 3025854

LCM of 1737 and 1742

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1737 and 1742

LCM of 1737 and 1742 is 3025854

Least common multiple can be found by multiplying the highest exponent prime factors of 1737 and 1742. First we will calculate the prime factors of 1737 and 1742.

Prime Factorization of 1737


3 1737
3 579
193 193
1

Prime factors of 1737 are 3,193. Prime factorization of 1737 in exponential form is:

1737 = 32×1931

Prime Factorization of 1742


2 1742
13 871
67 67
1

Prime factors of 1742 are 2, 13,67. Prime factorization of 1742 in exponential form is:

1742 = 21×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1737 and 1742.

LCM(1737,1742) = 21×32×131×671×1931
LCM(1737,1742) = 3025854

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1, 3, 9, 193, 579, 1737

Factors of 1742

List of positive integer factors of 1742 that divides 1742 without a remainder.

1, 2, 13, 26, 67, 134, 871, 1742

Least Common Multiple of 1737 and 1742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1737 and 1742, than apply into the LCM equation.

GCF(1737,1742) = 1
LCM(1737,1742) = ( 1737 × 1742) / 1
LCM(1737,1742) = 3025854 / 1
LCM(1737,1742) = 3025854

Properties of LCM 1737 and 1742

(i) The LCM of 1742 and 1737 is associative

LCM of 1737 and 1742 = LCM of 1742 and 1737

Frequently Asked Questions on LCM of 1737 and 1742

1. What is the LCM of 1737 and 1742?

Answer: LCM of 1737 and 1742 is 3025854.

2. What are the Factors of 1737?

Answer: Factors of 1737 are 1, 3, 9, 193, 579, 1737. There are 6 integers that are factors of 1737. The greatest factor of 1737 is 1737.

3. What are the Factors of 1742?

Answer: Factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742. There are 8 integers that are factors of 1742. The greatest factor of 1742 is 1742.

4. How to Find the LCM of 1737 and 1742?

Answer:

Least Common Multiple of 1737 and 1742 = 3025854

Step 1: Find the prime factorization of 1737

1737 = 3 x 3 x 193

Step 2: Find the prime factorization of 1742

1742 = 2 x 13 x 67

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3025854 = 2 x 3 x 3 x 13 x 67 x 193

Step 4: Therefore, the least common multiple of 1737 and 1742 is 3025854.